Algebra 2 - Exponents & Polynomials

Front

What is the power of a power property in exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: (y^9)^-2

Back

1/(y^18)

Front

What is the product of powers property in exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

Simplify: (3x^3y^5)^4

Back

81x^12y^20

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

Simplify: (2a^2b^4z)(6a^3b^2z^5)

Back

12a^5b^6z^6

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^-n = 1/(a^n).

Front

Simplify: (4x^3 - 5x^2 + 3x) + (-2x^3 - x^2 + 6x)

Back

2x^3 - 6x^2 + 9x

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.